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Classroom motivational environment influences on emotional and cognitive dimensions of student interest in mathematics

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Abstract

Interest has long been regarded as an important motivational construct in the learning of mathematics. It has been contended that the development of interest is directed by two control systems: an emotional and a cognitive. Under the former, students are attracted to activities that are enjoyable, whereas under the latter they consciously engage in tasks that might satisfy, for example, later goals. Younger students are more likely to associate emotional responses to interest-related stimuli, whereas older students tend to associate cognitive responses, suggesting qualitative developmental differences for students’ interest in mathematics. Yet there are differences between the classroom motivational environments experienced by primary/elementary vs. secondary school students, and the mathematical interest and enthusiasm likely felt and expressed by primary vs. secondary teachers, which may influence dimensions of student interest. Of concern in this study is the extent to which teacher enthusiasm impacts the classroom motivational environments (mastery vs. performance goal orientation) perceived by students and reported by teachers, and thereby dimensions of students’ interest for mathematics. Using survey data from 471 students in Grades 3–10 and 44 of their mathematics teachers, we find that students’ perceptions of their teachers’ enthusiasm for teaching mathematics positively predict their perceptions of a classroom mastery environment, which in turn predicts their interest. However, at the class-level, teachers’ enthusiasm for the subject of mathematics negatively predicts the emotional interest of their students. Implications of these results are discussed.

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Notes

  1. Items were taken from surveys previously conducted in Australia and were not piloted in this study because of time constraints.

  2. As described in Muthén and Muthén (2012).

  3. In this case, two classes at the same year level were taught by the same teacher.

References

  • ACARA (Australian Curriculum Assessment and Reporting Authority). (2013). Guide to understanding 2013 Index of Community Socio-educational Advantage (ICSEA) values. Sydney: ACARA. http://www.acara.edu.au/verve/_resources/Guide_to_understanding_2013_ICSEA_values.pdf. Accessed 20 Dec 2016.

  • Alexander, P. A. (2003). The development of expertise: The journey from acclimation to proficiency. Educational Researcher, 32(8), 10–14.

    Article  Google Scholar 

  • Anderman, E. M., Eccles, J. S., Yoon, K. S., Roeser, R., Wigfield, A., & Blumenfeld, P. (2001). Learning to value mathematics and reading: Relations to mastery and performance-oriented instructional practices. Contemporary Educational Psychology, 26(1), 76–95.

    Article  Google Scholar 

  • Anderman, E. M., & Midgley, C. (1997). Changes in achievement goal orientations, perceived academic competence, and grades across the transition to middle-level schools. Contemporary Educational Psychology, 22(3), 269–298.

    Article  Google Scholar 

  • Bartko, J. J. (1976). On various intraclass correlation reliability coefficients. Psychological Bulletin, 83(5), 762–765.

    Article  Google Scholar 

  • Bentler, P. M. (1990). Comparative fit indexes in structural models. Psychological Bulletin, 107(2), 238–246.

    Article  Google Scholar 

  • Berlyne, D. E. (1960). Conflict, arousal, and curiosity (McGraw-Hill Series in Psychology). New York: McGraw-Hill.

    Book  Google Scholar 

  • Beswick, K. (2011). Teachers’ beliefs about school mathematics and mathematicians’ mathematics and their relationship to practice. Educational Studies in Mathematics, 79(1), 127–147.

    Article  Google Scholar 

  • Beswick, K., Ashman, D., Callingham, R., & McBain, D. (2011). Teachers’ and pre-service teachers’ confidence to teach primary school mathematics. In J. Wright (Ed.), Proceedings of the annual conference of the Australian Association for Research in Education. http://www.aare.edu.au/11pap/papers_pdf/aarefinal00535.pdf. Accessed 20 Dec 2016.

  • Beswick, K., Watson, J. M., & Brown, N. (2006). Teachers’ confidence and beliefs and their students’ attitudes to mathematics. In P. Grootenboer, R. Zevenbergen & M. Chinnapan (Eds.), Identities, cultures and learning spaces. Proceedings of the 29th conference of the mathematics Education Research Group of Australasia (Vol. 1, pp. 68–75). Adelaide: MERGA.

    Google Scholar 

  • Burton, L. (2004). “Confidence is everything”. Perspectives of teachers and students on learning mathematics. Journal of Mathematics Teacher Education, 7(4), 357–381.

    Article  Google Scholar 

  • Butler, R. (2007). Teachers’ achievement goal orientations and associations with teachers’ help seeking: Examination of a novel approach to teacher motivation. Journal of Educational Psychology, 99(2), 241–252.

    Article  Google Scholar 

  • Byrne, B. M. (2012). Structural equation modeling with Mplus. New York: Routledge.

    Google Scholar 

  • Carmichael, C. S., Callingham, R., Hay, I., & Watson, J. M. (2010). Measuring middle school students’ interest in statistical literacy. Mathematics Education Research Journal, 22(3), 9–39.

    Article  Google Scholar 

  • Carmichael, C. S., Callingham, R., Watson, J. M., & Hay, I. (2009). Factors influencing the development of middle school students’ interest in statistical literacy. Statistics Education Research Journal, 8(1), 62–81.

    Google Scholar 

  • Chinnappan, M., Dinham, S., Herrington, A. J., & Scott, D. (2008). Year 12 students and higher mathematics: Emerging issues. In P. Jeffery (Ed.), Proceedings of AARE 2007 International Educational Research Conference (p. 10). Fremantle: Australian Association for Research in Education.

    Google Scholar 

  • Crouzevialle, M., & Butera, F. (2013). Performance-approach goals deplete working memory and impair cognitive performance. Journal of Experimental Psychology: General, 142(3), 666–678.

    Article  Google Scholar 

  • Dewey, J. (1910). Interest in relation to training of the will. In J. J. Findlay (Ed.), Educational essays (pp. 73–132). Bath: Cedric Chivers Ltd.

    Google Scholar 

  • Dweck, C. S., & Elliott, S. (1983). Achievement motivation. In P. Mussen (Ed.), Handbook of Child Psychology: Socialization, personality, and social development (Vol. 4, pp. 643–691). NY: Wiley.

    Google Scholar 

  • Eccles, J. S. (1987). Gender roles and women’s achievement-related decisions. Psychology of Women Quarterly, 11(2), 135–172.

    Article  Google Scholar 

  • Eccles, J. S., & Midgley, C. (1989). Stage-environment fit: Developmentally appropriate classrooms for young adolescents. In R. Ames & C. Ames (Eds.), Research on Motivation in Education (Vol. 3, pp. 139–186). New York: Academic Press.

    Google Scholar 

  • Eccles, J. S., & Midgley, C. (1990). Changes in academic motivation and self-perception during early adolescence. In R. Montemayor, G. R. Adams & T. P. Gullotta (Eds.), Advances in adolescent development: From childhood to adolescence (Vol. 2, pp. 134–155). Newbury Park: Sage.

    Google Scholar 

  • Eccles, J. S., & Wigfield, A. (2002). Motivational beliefs, values and goals. Annual Review of Psychology, 53, 109–132.

    Article  Google Scholar 

  • Elliot, A. J., & Harackiewicz, J. M. (1996). Approach and avoidance achievement goals and intrinsic motivation: A mediational analysis. Journal of Personality and Social Psychology, 70(3), 461–475.

    Article  Google Scholar 

  • Frenzel, A. C., Dicke, A., Pekrun, R., & Goetz, T. (2012). Beyond quantitative decline: Conceptual shifts in adolescents’ development of interest in mathematics. Developmental Psychology, 48(4), 1069–1082.

    Article  Google Scholar 

  • Frenzel, A. C., Goetz, T., Lüdtke, O., Pekrun, R., & Sutton, R. (2009). Emotional transmission in the classroom: Exploring the relationship between teacher and student enjoyment. Journal of Educational Psychology, 101(3), 705–716.

    Article  Google Scholar 

  • Frenzel, A. C., Goetz, T., Pekrun, R., & Watt, H. M. G. (2010). Development of mathematics interest in adolescence: Influences of gender, family, and school context. Journal of Research on Adolescence, 20(2), 507–537.

    Article  Google Scholar 

  • Harackiewicz, J. M., Durik, A. M., Barron, K. E., Linnenbrink-Garcia, L., & Tauer, J. M. (2008). The role of achievement goals in the development of interest: Reciprocal relations between achievement goals, interest, and performance. Journal of Educational Psychology, 100(1), 105–122.

    Article  Google Scholar 

  • Harp, S. F., & Mayer, R. E. (1997). The role of interest in learning from scientific text and illustrations: on the distinction between emotional interest and cognitive interest. Journal of Educational Psychology, 89(1), 92–101.

    Article  Google Scholar 

  • Hattie, J.A.C. (2009). Visible learning. A synthesis of over 800 meta-analyses relating to achievement. Abingdon: Routledge.

    Google Scholar 

  • Heinze, A., Reiss, K., & Franzizka, R. (2005). Mathematics achievement and interest in mathematics from a differential perspective. ZDM, 37(3), 212–220.

    Google Scholar 

  • Hidi, S., & Renninger, K. A. (2006). The four-phase model of interest development. Educational Psychologist, 41(2), 111–127.

    Article  Google Scholar 

  • Hill, J. P., & Lynch, M. E. (1983). The intensification of gender-related role expectations during early adolescence. In J. Brooks-Gunn & A. C. Petersen (Eds.), Girls at puberty (pp. 201–228). New York: Plenum.

    Chapter  Google Scholar 

  • Hu, L., & Bentler, P. M. (1999). Cut-off criteria for fit indexes in covariance structure analysis: Conventional criteria versus new alternatives. Structural Equation Modeling, 6(1), 1–55.

    Article  Google Scholar 

  • Hyde, J. S., Fennema, E., & Lamon, S. J. (1990). Gender differences in mathematics performance: A meta-analysis. Psychological Bulletin, 107(2), 139–155.

    Article  Google Scholar 

  • Jacobs, J. E., Lanza, S., Osgood, D. W., Eccles, J. S., & Wigfield, A. (2002). Changes in children’s self-competence and values: Gender and domain differences across grades one through twelve. Child Development, 73(2), 509–527.

    Article  Google Scholar 

  • Kennedy, J., Lyons, T., & Quinn, F. (2014). The continuing decline of science and mathematics enrolments in Australian high schools. Teaching Science, 60(2), 34–46.

    Google Scholar 

  • Krapp, A. (2007). An educational-psychological conceptualisation of interest. International Journal for Educational and Vocational Guidance, 7(1), 5–21.

    Article  Google Scholar 

  • Kunter, M., Frenzel, A., Nagy, G., Baumert, J., & Pekrun, R. (2011). Teacher enthusiasm: Dimensionality and context specificity. Contemporary Educational Psychology, 36(4), 298–301.

    Article  Google Scholar 

  • Kunter, M., Tsai, Y., Klusmann, U., Brunner, M., Krauss, S., & Baumert, J. (2008). Students’ and mathematics teachers’ perceptions of teacher enthusiasm and instruction. Learning and Instruction, 18(5), 468–482.

    Article  Google Scholar 

  • Lazarides, R., & Watt, H. M. G. (2015). Girls’ and boys’ perceived mathematics teacher beliefs, classroom learning environments and mathematical career intentions. Contemporary Educational Psychology, 41(1), 51–61.

    Article  Google Scholar 

  • Lowry, N., & Johnson, D. W. (1981). Effects of controversy on epistemic curiosity, achievement, and attitudes. The Journal of Social Psychology, 115(1), 31–43.

    Article  Google Scholar 

  • Meece, J. L., Anderman, E. M., & Anderman, L. H. (2006). Classroom goal structure, student motivation, and academic achievement. Annual Review of Psychology, 57(3), 487–503.

    Article  Google Scholar 

  • Midgley, C., Kaplan, A., & Middleton, M. (2001). Performance approach goals: Good for what, for whom, under what circumstances, and at what cost? Journal of Educational Psychology, 93(1), 77–86.

    Article  Google Scholar 

  • Midgley, C., Maehr, M. L., Hruda, L. Z., Anderman, E. M., Anderman, L. H., Freeman, K. E., et al. (2000). Manual for the Patterns of Adaptive Learning Scales. Ann Arbor: University of Michigan.

    Google Scholar 

  • Mitchell, M. (1993). Situational interest: Its multifaceted structure in the secondary school mathematics classroom. Journal of Educational Psychology, 85(3), 424–436.

    Article  Google Scholar 

  • Murphy, P. K., & Alexander, P. A. (2000). A motivated exploration of motivation terminology. Contemporary Educational Psychology, 25(1), 3–53.

    Article  Google Scholar 

  • Muthén, B., & Asparouhov, T. (2010). Beyond multilevel regression modeling: Multilevel analysis in a general latent variable framework. In J. Hox & J. K. Roberts (Eds.), The handbook of advanced multilevel analysis (pp. 15–40). New York: Taylor and Francis.

    Google Scholar 

  • Muthén, L. K., & Muthén, B. (2012). Mplus user’s guide (7th ed.). Los Angeles: Muthén & Muthén.

  • Nagy, G., Watt, H. M. G., Eccles, J. S., Trautwein, U., Ludtke, O., & Baumert, J. (2010). The development of students’ mathematics self-concept in relation to gender: Different countries, different trajectories? Journal of Research on Adolescence, 20(2), 482–506.

    Article  Google Scholar 

  • Nicholls, J. G. (1984). Achievement motivation: Conceptions of ability, subjective experience, task choice, and performance. Psychological Review, 91(3), 328–346.

    Article  Google Scholar 

  • Nicholls, J. G. (1989). The competitive ethos and democratic education. Cambridge: Harvard University Press.

    Google Scholar 

  • Organisation for Economic Co-operation and Development [OECD]. (2004). Learning for tomorrow’s world: First results from PISA 2003. Paris: OECD Publications.

    Google Scholar 

  • Pantziara, M., & Philippou, G. N. (2015). Students’ motivation in the mathematics classroom. Revealing causes and consequences. International Journal of Science and Mathematics Education, 13(Suppl 2), 385–411.

    Article  Google Scholar 

  • Patrick, H., Anderman, L. H., Ryan, A. M., Edelin, K. C., & Midgley, C. (2001). Teachers’ communication of goal orientations in four fifth-grade classrooms. The Elementary School Journal, 102(1), 35–58.

    Article  Google Scholar 

  • Pekrun, R., Goetz, T., Frenzel, A. C., & Perry, R. (2011). Measuring emotions in students’ learning and performance: The achievement emotions questionnaire (AEQ). Contemporary Educational Psychology, 36(1), 36–48.

    Article  Google Scholar 

  • Reeve, J. (1989). The interest-enjoyment distinction in intrinsic motivation. Motivation and Emotion, 13(2), 83–103.

    Article  Google Scholar 

  • Schiefele, U., & Schaffner, E. (2015). Teacher interests, mastery goals, and self-efficacy as predictors of instructional practices and student motivation. Contemporary Educational Psychology, 42(1), 159–171.

    Article  Google Scholar 

  • Schukajlow, S., & Krug, A. (2014). Do multiple solutions matter? Prompting multiple solutions, interest, competence, and autonomy. Journal for Research in Mathematics Education, 45(4), 497–533.

    Article  Google Scholar 

  • Schukajlow, S., Leiss, D., Pekrun, R., Blum, W., Mũller, M., & Messner, R. (2012). Teaching methods for modelling problems and students’ task-specific enjoyment, value, interest and self-efficacy expectations. Educational Studies in Mathematics, 79(2), 215–237.

    Article  Google Scholar 

  • Seidman, E., Allen, L., Aber, J. L., Mitchell, C., & Feinman, J. (1994). The impact of school transitions in early adolescence on the self-system and perceived social context of poor urban youth. Child Development, 65(2), 507–522.

    Article  Google Scholar 

  • Trautwein, U., Ludtke, O., Köller, O., Marsh, H. W., & Baumert, J. (2006). Tracking, grading, and student motivation: Using group composition and status to predict self-concept and interest in ninth-grade mathematics. Journal of Educational Psychology, 98(4), 788–806.

    Article  Google Scholar 

  • Tytler, R., Osborne, J., Williams, G., Tytler, K., & Cripps-Clark, J. (2008). Opening up pathways: Engagement in STEM across the primary–secondary school transition. Canberra: Australian Department of Education, Employment and Workplace Relations. https://docs.education.gov.au/system/files/doc/other/openpathinscitechmathenginprimsecschtrans.pdf. Accessed 20 Dec 2016.

  • Updegraff, K. A., Eccles, J. S., Barber, B. L., & O’Brien, K. M. (1996). Course enrollment as self-regulatory behavior: Who takes optional high school math courses? Learning and Individual Differences, 8(3), 239–259.

    Article  Google Scholar 

  • Watt, H. M. G. (2004). Development of adolescents’ self-perceptions, values and task perceptions according to gender and domain in 7th through 11th grade Australian students. Child Development, 75(5), 1556–1574.

    Article  Google Scholar 

  • Watt, H. M. G., Shapka, J. D., Morris, Z. A., Durik, A. M., Keating, D. P., & Eccles, J. S. (2012). Gendered motivational processes affecting high school mathematics participation, educational aspirations, and career plans: A comparison of samples from Australia, Canada, and the United States. Developmental Psychology, 48(6), 1594–1611.

    Article  Google Scholar 

  • Weldon, P. R. (2016). Out-of-field teaching in Australian secondary schools. (policy insights; n.6). Melbourne: Australian Council for Educational Research (ACER).

    Google Scholar 

  • Wigfield, A., Eccles, J., MacIver, D., Reuman, D., & Midgley, C. (1991). Transitions at early adolescence: Changes in children’s domain-specific self-perceptions and general self-esteem across the transition to junior high school. Developmental Psychology, 27(4), 552–565.

    Article  Google Scholar 

  • Zhang, Q. (2014). Assessing the effects of instructor enthusiasm on classroom engagement, learning goal orientation, and academic self-efficacy. Communication Teacher, 28(1), 44–56.

    Article  Google Scholar 

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Acknowledgements

This study was funded by the Australian Office of the Chief Scientist (OCS). The opinions expressed in this article are those of the authors and project team and do not necessarily reflect the view of the OCS. The involvement and contributions of A/Prof. Judy Anderson, Prof. Kim Beswick, A/Prof. Vince Geiger, Prof. Merrilyn Goos, Dr. Derek Hurrel, Dr. Christopher Hurst, and Dr. Tracey Muir are acknowledged.

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  1. Charles Sturt University, Bathurst, Australia

    Colin Carmichael

  2. University of Tasmania, Hobart, Australia

    Rosemary Callingham

  3. Faculty of Education, Monash University, Building 6 Wellington Road, Clayton, VIC, 3800, Australia

    Helen M. G. Watt

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  1. Colin Carmichael
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  2. Rosemary Callingham
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  3. Helen M. G. Watt
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Correspondence to Helen M. G. Watt.

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Carmichael, C., Callingham, R. & Watt, H.M.G. Classroom motivational environment influences on emotional and cognitive dimensions of student interest in mathematics. ZDM Mathematics Education 49, 449–460 (2017). https://doi.org/10.1007/s11858-016-0831-7

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